T-SQL 166 185 Characters
CREATE PROCEDURE f29 (@d DATETIME) AS
DECLARE @i int
SET @i=YEAR(DATEADD(M,-2,@d)+3)
SET @i=@i+(4-@i%4)
IF @i%100=0 AND @i%400<>0 SET @i=@i+4
SELECT DATENAME(W,CAST(@i AS CHAR)+'-2-29')
I was already messing with T-SQL date functions, so I figured why not...
Original solution was incorrect...
Here's what I actually have to do to get that strategy to work:
CREATE PROCEDURE f29 (@d DATE) AS
DECLARE @i int
SET @i = YEAR(@d)
BEGIN TRY
SET @i=YEAR(DATEADD(D, 3, DATEADD(M,-2,@d)))
END TRY
BEGIN CATCH
END CATCH
SET @i=@i+(4-@i%4)
IF @i%100=0 AND @i%400<>0 SET @i=@i+4
SELECT DATENAME(W,CAST(@i AS CHAR)+'-2-29')